looking for a ac system

i'm looking for a ac system for the carribean, my family say they did not want a central air system beacause it would cost 2 much to cool the entire house at the same time i was thinking about using 4 blower and 1 compressor

1 can i connector 4 blower to 1 compressor

2 what is the smallest blower (without heating element) that can fit into a room with it's own on/of switch